Respuesta :

4a3b5 − 16a5b2 + 12a2b3 = 4 * a^2 * b^2 * ( a*b^3 - 4 * a^3 * + 3 * b^3)

Answer:

[tex]4a^2b^2(ab^3 -4a^3+3b)[/tex]

Step-by-step explanation:

Given : [tex]4a^3b^5 -16a^5b^2+12a^2b^3[/tex]

To Find: Find factored form.

Solution:

[tex]4a^3b^5 -16a^5b^2+12a^2b^3[/tex]

Take 4 as common

[tex]4(a^3b^5 -4a^5b^2+3a^2b^3)[/tex]

Now take [tex]a^2[/tex] as common

[tex]4a^2(ab^5 -4a^3b^2+3b^3)[/tex]

Now take [tex]b^2[/tex] as common

[tex]4a^2b^2(ab^3 -4a^3+3b)[/tex]

Hence The factored form of [tex]4a^3b^5 -16a^5b^2+12a^2b^3[/tex] is  [tex]4a^2b^2(ab^3 -4a^3+3b)[/tex]